Multiple choice

Vikas can cover a distance in 1 hour 24 min by covering 2/3 of the distance at 4 kmph and the rest at 5 kmph. What is the total distance?

  1. 6 km

  2. 7 km

  3. 8 km

  4. 5 km
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let total distance be D. Time = (2D/3)/4 + (D/3)/5 = 1.4 hours (84 min). D/6 + D/15 = 1.4. (5D + 2D)/30 = 1.4. 7D/30 = 1.4. D = 1.4 * 30 / 7 = 6 km.

AI explanation

Let the total distance be d; he travels 2d/3 at 4 kmph and d/3 at 5 kmph for a total time of 1.4 hours. This gives the equation d/6 plus d/15 equals 1.4. Solving this by finding a common denominator of 30 gives 7d divided by 30 equals 1.4, so d equals 6 km.

Keep practicing — related questions